10101111010001 has 12 divisors (see below), whose sum is σ = 11687235882000. Its totient is φ = 8699521442040.

The previous prime is 10101111009967. The next prime is 10101111010009. The reversal of 10101111010001 is 10001011110101.

It is not a de Polignac number, because 10101111010001 - 2⁶ = 10101111009937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10101111010009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2196846551 + ... + 2196851148.

It is an arithmetic number, because the mean of its divisors is an integer number (973936323500).

Almost surely, 2^{10101111010001} is an apocalyptic number.

10101111010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101111010001 is a deficient number, since it is larger than the sum of its proper divisors (1586124871999).

10101111010001 is a wasteful number, since it uses less digits than its factorization.

10101111010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393697740 (or 4393697729 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10101111010001 its reverse (10001011110101), we get a palindrome (20102122120102).

The spelling of 10101111010001 in words is "ten trillion, one hundred one billion, one hundred eleven million, ten thousand, one".